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CN111242923A - Canny operator-based insulator crack detection method based on maximum entropy threshold optimization - Google Patents

Canny operator-based insulator crack detection method based on maximum entropy threshold optimization Download PDF

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CN111242923A
CN111242923A CN202010033618.3A CN202010033618A CN111242923A CN 111242923 A CN111242923 A CN 111242923A CN 202010033618 A CN202010033618 A CN 202010033618A CN 111242923 A CN111242923 A CN 111242923A
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insulator
image
maximum entropy
crack detection
canny operator
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李黄强
姚钦
杨世勇
杜杨
李镇翰
李宇宸
李阳
李百川
饶晨辰
曹威
杨政
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Yichang Power Supply Co of State Grid Hubei Electric Power Co Ltd
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Abstract

The invention discloses an insulator crack detection method based on Canny operator maximum entropy threshold optimization, which comprises the following steps: acquiring an insulator image, and preprocessing the insulator image; calculating the maximum entropy of the insulator image gray value; performing Gaussian filtering on the insulator image; calculating the gradient amplitude and direction of the insulator image; carrying out non-maximum suppression on the gradient amplitude of the insulator image; setting a high threshold and a low threshold for the insulator image, taking the maximum entropy of the gray value of the insulator image as the high threshold, and extracting the insulator edge image by adopting a Canny operator; and carrying out crack detection on the insulator edge image containing the cracks. The method can monitor the insulator in real time, reduce manpower and material resources, improve the working efficiency, greatly reduce the probability of the insulator breaking down due to the generation of cracks and ensure the safety and stability of the power grid.

Description

Canny operator-based insulator crack detection method based on maximum entropy threshold optimization
Technical Field
The invention belongs to the field of insulator detection, and particularly relates to a Canny operator-based insulator crack detection method based on maximum entropy threshold optimization.
Background
With the continuous acceleration of the industrialization process and the continuous improvement of the economic level in China and the continuous enhancement of the construction of the power grid, the power network is more and more complex. The working intensity of power grid maintenance corresponding to the insulator is higher and higher, and the difficulty brought to the power grid maintenance work by quickly and accurately judging the health condition of the insulator is reduced.
The insulator is exposed to the atmosphere and works in severe environments such as strong electric field, strong mechanical stress, rapid cooling and heating, wind, rain, snow and fog, chemical substance corrosion and the like for a long time, and cracks are generated on the insulator in an unavoidable way. At present, the existing insulator crack detection method mainly comprises a visual inspection method and an instrument testing method. The insulators are usually arranged on the transmission tower, the visual inspection accuracy is not high, and no matter the visual inspection or the instrument and meter testing method is adopted, the insulators need to be close to maintenance personnel, so that inconvenience is brought to maintenance work, the labor intensity of the maintenance personnel is high, and the efficiency is low.
Noise is a factor that hinders the human sense organ from understanding the received information of the source, i.e., various undesired or unwanted parts contained in the image. Firstly, noise is inevitably generated in the process of generating, transmitting and receiving an image, secondly, impurities such as dust, rain and snow and the like attached to the surface of the insulator are noise, and meanwhile, other objects such as lines, pole frames and the like around the insulator in the image are useless information which can also be regarded as noise.
Disclosure of Invention
The invention has the technical problems that in the existing insulator crack detection method, the visual inspection accuracy is not high, and whether the visual inspection or the instrument and meter test method is adopted, a maintainer needs to be close to the insulator, so that the overhauling work is inconvenient, the labor intensity of the maintainer is high, and the efficiency is low. The acquired insulator image has a large amount of noise on the background due to the position of the insulator, and the noise includes influence factors such as lines, towers and branches, dirt can be generated on the surface of the insulator due to the effects of wind, frost, snow, fog and the like, and when the traditional image recognition technology is used for detecting the edge of the insulator, the noise can seriously interfere the result and is not beneficial to detecting the cracks of the insulator.
The invention aims to solve the problems and provides an insulator crack detection method based on Canny operator maximum entropy threshold optimization, which adopts an image recognition technology, extracts an insulator edge image possibly containing cracks from the insulator image by using an improved Canny operator after the image of the insulator is collected, identifies the edge outline of the broken insulator which accords with the edge characteristics of the insulator, further confirms whether the insulator edge outline has the cracks or not, solves the problems of low efficiency and poor accuracy caused by manual visual observation, and can reduce the labor intensity of maintainers.
The technical scheme of the invention is an insulator crack detection method based on the maximum entropy threshold optimization of a Canny operator, which comprises the following steps,
step 1: acquiring an insulator image, and preprocessing the insulator image;
step 2: calculating the maximum entropy of the insulator image gray value;
and step 3: performing Gaussian filtering on the insulator image;
and 4, step 4: calculating the gradient amplitude and direction of the insulator image, and performing non-maximum suppression on the gradient amplitude;
and 5: setting a high threshold and a low threshold for the insulator image, taking the maximum entropy of the gray value of the insulator image as the high threshold, and extracting the insulator edge image by adopting a Canny operator;
step 6: and carrying out crack detection on the insulator edge image possibly containing cracks.
Further, in step 1, the insulator image is preprocessed, insulator images are subjected to rotation transformation, the center line of the insulator in the image is in the vertical direction, and the insulator is subjected to image graying, contrast enhancement and denoising in sequence, and the method comprises the following substeps,
step 1.1: graying the insulator image;
step 1.2: enhancing the contrast of the insulator image;
step 1.3: and denoising the insulator image.
Preferably, in step 1.2, the contrast of the insulator image is enhanced, the gray scale distribution function of the image before enhancement is f (x, y), the gray scale distribution range of the image pixel is [ a, b ], after the contrast of the insulator image is enhanced, the gray scale distribution range of the image pixel is [0,255], and the expression of the gray scale distribution function g (x, y) is as follows
Figure BDA0002365238280000021
Preferably, the insulator image is denoised by using a wiener filter.
Further, in step 6, the crack detection is performed on the insulator edge image which may contain cracks, and the method includes the following steps,
step 6.1: judging the insulator contour line which accords with the shape characteristic of the slope function in the edge curve of the edge image in the step 5, and determining an insulator region in the image;
step 6.2: and judging whether a curve spanning the adjacent umbrella skirt exists in the insulation sub-region, and if so, judging that the umbrella skirt is cracked.
In step 2, the maximum entropy of the insulator image gray value is calculated, and a two-dimensional vector formed by pixels of pixel gray value distribution and neighborhood average gray value distribution is utilized to obtain an optimal threshold when the two-dimensional measure is maximized.
And establishing a two-dimensional gray distribution graph of the image by taking the gray value of the pixel points of the insulator image as the abscissa and the area gray mean value as the ordinate. Setting a point (s, t) as a target region, namely an insulator and background region segmentation point, setting the maximum gray value of an image as L, setting the point (s, t) as a segmentation threshold, setting a region between the point (0,0) and the point (s, t) of a two-dimensional gray distribution map as a target region A, setting a region between the point (L, L) and the point (s, t) as a background region B, setting a region between the point (s,0) and the point (L, t) as a region C, setting a region between the point (0, t) and the point (s, L) as a region D, and setting the regions C and D as boundary pixel point distribution regions and noise signal distribution regions respectively;
the two-dimensional entropy of region A H (A) is as follows
Figure BDA0002365238280000031
Wherein
Figure BDA0002365238280000032
pi,jIn order to be the probability density,
Figure BDA0002365238280000033
ni,jthe number of pixel points with point gray of i and area gray of j;
the number of the pixel points of the insulating sub-image is NXN;
the two-dimensional entropy H (B) of the B region is as follows
Figure BDA0002365238280000034
Wherein
Figure BDA0002365238280000035
Let p in the C and D regionsi,j0 is approximately distributed; available PB=1-PA;HB=HL-HA=lg(1-PA)+(HL-HA)/(1-PA) In which H isLIs a discriminant function of entropy
Figure BDA0002365238280000036
Discriminant function
Figure BDA0002365238280000037
Is calculated as follows
Figure BDA0002365238280000038
Threshold point of maximum entropy
Figure BDA0002365238280000039
Satisfies the following formula
Figure BDA00023652382800000310
Compared with the prior art, the invention has the beneficial effects that:
1) the method can monitor the insulator in real time, reduce manpower and material resources, improve the working efficiency, greatly reduce the probability of the insulator breaking down due to the generation of cracks and ensure the safety and stability of the power grid;
2) according to the method, the canny operator with the optimized maximum entropy threshold value is adopted, so that the influence of image noise caused by insulator dirt, background elements and the like on the insulator edge detection can be effectively reduced, and the crack detection precision is improved;
3) according to the method, after the contour region of the insulator is judged and separated by adopting the shape characteristics of the slope function according to the general characteristic of the cracks penetrating through the adjacent sheds, the curve of the narrow chain crossing the adjacent sheds in the contour region of the insulator is detected as the cracks, so that the programming is easy to realize, and the rapid detection of the cracks is realized.
Drawings
The invention is further illustrated by the following figures and examples.
Fig. 1 is a flowchart of an insulator crack detection method based on Canny operator maximum entropy threshold optimization.
Fig. 2 is a two-dimensional gray distribution diagram of an insulator image.
Fig. 3 is a schematic view of an insulator image.
Detailed Description
As shown in fig. 1-3, the method for detecting the insulator crack based on the maximum entropy threshold optimization of the Canny operator comprises the following steps:
step 1: collecting an insulator image by using an unmanned aerial vehicle, preprocessing the insulator image, performing rotary transformation on the insulator image to enable the center line of the insulator in the image to be in the vertical direction, and performing image graying, contrast enhancement and denoising in sequence;
step 1.1: graying the insulator image;
step 1.2: enhancing the contrast of the insulator image;
step 1.3: denoising the insulator image;
step 2: calculating the maximum entropy of the insulator image gray value;
and step 3: performing Gaussian filtering on the insulator image;
and 4, step 4: calculating the gradient amplitude and direction of the insulator image, and performing non-maximum suppression on the gradient amplitude;
and 5: setting a high threshold and a low threshold for the insulator image, taking the maximum entropy of the gray value of the insulator image as the high threshold, and extracting the insulator edge image by adopting a Canny operator;
step 6: carrying out crack detection on the insulator edge image containing cracks;
step 6.1: judging the insulator contour line which accords with the shape characteristic of the slope function in the edge curve of the edge image in the step 5, and determining an insulator region in the image;
step 6.2: and judging whether a curve spanning the adjacent umbrella skirt exists in the insulation sub-region, and if so, judging that the umbrella skirt is cracked.
In step 1.2, the contrast of the insulator image is enhanced, the gray scale distribution function of the image before enhancement is f (x, y), the gray scale distribution range of the image pixel is [ a, b ], after the contrast of the insulator image is enhanced, the gray scale distribution range of the image pixel is [0,255], and the expression of the gray scale distribution function g (x, y) is as follows
Figure BDA0002365238280000051
And denoising the insulator image by using a wiener filter. Wiener filtering is a least variance filter that is based on making f (x, y) and f (x, y) sum on the assumption that the image signal can be approximately seen as a stationary random process
Figure BDA0002365238280000052
Mean square error e between2Implemented by reaching a minimum criterion function, i.e.
Figure BDA0002365238280000053
In the formula, E is expected to be,
Figure BDA0002365238280000054
f (x, y) is a clear original image function after wiener filtering;
Figure BDA0002365238280000055
is calculated as follows
Figure BDA0002365238280000056
Where G (u, v) is the Fourier transform of the degenerate figureFunction, H (u, v) is a degenerate function, Sn(u, v) is a power spectrum function of the noise, Sf(u, v) is a power spectrum function of the original image,
Figure BDA0002365238280000057
λ is lagrange multiplier, λ is constant in the embodiment, and (u, v) are pixel point coordinates.
The wiener filter has an automatic suppression effect on noise amplification. If the transfer function H (u, v) is zero somewhere, because
Figure BDA0002365238280000058
Has a denominator of Sn(u,v)/SfThe (u, v) term, so no singularity occurs. In a certain frequency spectrum region, if the signal-to-noise ratio is high, the signal-to-noise ratio is high
Sn(u,v)≤Sf(u,v)
The filter effect tends to be inverse filtering.
If the signal-to-noise ratio is small, i.e.
Sn(u,v)>>Sf(u,v)
The filter is insensitive in performance, and the wiener filter avoids the amplification effect on noise in the process of restoring the image. The noise is effectively filtered by the image after wiener filtering, and the contrast between the foreground and the background becomes more obvious and outstanding, so that the difference between the insulator and the background can be highlighted.
In step 2, the maximum entropy of the insulator image gray value is calculated, and a two-dimensional vector formed by pixels of pixel gray value distribution and neighborhood average gray value distribution is utilized to obtain an optimal threshold when the two-dimensional measure is maximized.
As shown in fig. 2, a two-dimensional gray distribution graph of the image is established by using the gray value of the pixel point of the insulator image as the abscissa and the area gray average value as the ordinate. Setting a point (s, t) as a target region, namely an insulator and background region segmentation point, setting the maximum gray value of an image as L, setting the point (s, t) as a segmentation threshold, setting a region between the point (0,0) and the point (s, t) of a two-dimensional gray distribution map as a target region A, setting a region between the point (L, L) and the point (s, t) as a background region B, setting a region between the point (s,0) and the point (L, t) as a region C, setting a region between the point (0, t) and the point (s, L) as a region D, and setting the regions C and D as boundary pixel point distribution regions and noise signal distribution regions respectively;
the two-dimensional entropy of region A H (A) is as follows
Figure BDA0002365238280000061
Wherein
Figure BDA0002365238280000062
pi,jIn order to be the probability density,
Figure BDA0002365238280000063
ni,jthe number of pixel points with point gray of i and area gray of j;
the number of the pixel points of the insulating sub-image is NXN;
the two-dimensional entropy H (B) of the B region is as follows
Figure BDA0002365238280000064
Wherein
Figure BDA0002365238280000065
Let p in the C and D regionsi,j0 is approximately distributed; available PB=1-PA;HB=HL-HA=lg(1-PA)+(HL-HA)/(1-PA) In which H isLIs a discriminant function of entropy
Figure BDA0002365238280000066
Discriminant function
Figure BDA0002365238280000067
Is calculated as follows
Figure BDA0002365238280000068
Threshold point of maximum entropy
Figure BDA0002365238280000069
Satisfies the following formula
Figure BDA00023652382800000610
The existing Canny operator, such as the Canny operator in an image edge detection improvement algorithm based on the Canny operator published in a paper published in 'Shanghai university of transportation' journal 50 of 2016 (2016), generally has the problem that the selection of the threshold of the Canny operator has no clear calculation method, and the selection of the threshold determines the final result of edge detection, so that the threshold is too low, so that many false edges and noise points can be generated in the insulator crack detection process, and the threshold is too high, so that the information of lines and cracks needing to be reserved in the insulator sub-image cannot be reserved. Aiming at the defects, the two-dimensional maximum entropy calculated in the step 2 is used as a high threshold value in double threshold values in a Canny operator, t1、t2A low threshold and a high threshold, respectively, and t is set in the embodiment2≈2t1Thereby improving the existing Canny operator.
In step 3, the input image of the Gaussian filter is f (x, y), the Gaussian function is used for smoothing operation, and the gradient of the smoothed image g (x, y) is
Figure BDA0002365238280000071
The convolution operation characteristics are as follows:
Figure BDA0002365238280000072
wherein G (x, y) is a Gaussian function.
The image smoothing processing by adopting the Gaussian function can lead the edge of the original image to be blurred and the width to be increased, and the non-maximum value inhibition can sharpen the blurred edge.
In one embodiment, the Gaussian filter function is
Figure BDA0002365238280000073
Wherein σ is the standard deviation of normal distribution;
the 2 filter convolution templates of the gradient vector ▽ G are decomposed into 2 one-dimensional row and column filters by a decomposition method:
Figure BDA0002365238280000074
Figure BDA0002365238280000075
wherein k is a differential operator; and respectively using the two convolution templates for image convolution calculation to obtain output:
Figure BDA0002365238280000081
Figure BDA0002365238280000082
Figure BDA0002365238280000083
Figure BDA0002365238280000084
the method comprises the following steps of obtaining an image f (x, y), obtaining a gradient image, obtaining a point (i, j) on the image f (x, y), obtaining a difference value of an x axis, obtaining an Ey axis, obtaining a difference value of a y axis, and expressing convolution operation in an expression, wherein A (i, j) is the amplitude of the gradient and reflects the edge strength of the point (i, j) on the image f (x, y), α (i, j) is a normal vector of the point (i, j) on the image f (x, y), and is a vector orthogonal to the edge direction, namely the direction of the gradient.
The insulator is usually cracked by an isolated narrow chain intersecting the contour of the edge of the insulator, and the narrow chain penetrates through a plurality of sheds of the insulator.
In step 6.1, the ramp function adopts a ramp model disclosed in an article "Optimal Edge Detectors for RampEdges" published by IEEE Transactions on Pattern analysis and Machine understanding, 13 1991, the ramp model is as follows:
Figure BDA0002365238280000085
wherein epsilon is a function parameter, and appearance characteristics of most insulators can be represented by selecting a slope model with the parameter epsilon of 1.4 through analyzing each sample in the sample space.
In the embodiment, the crack detection method provided by the invention is adopted, so that the maintenance efficiency and accuracy of the power grid insulator are improved, the labor intensity of power grid maintenance personnel is reduced, and the economic loss caused by insulator faults in the power grid is reduced.

Claims (5)

1. The method for detecting the insulator cracks based on the maximum entropy threshold optimization of the Canny operator is characterized by comprising the following steps,
step 1: acquiring an insulator image, and preprocessing the insulator image;
step 2: calculating the maximum entropy of the insulator image gray value;
and step 3: performing Gaussian filtering on the insulator image;
and 4, step 4: calculating the gradient amplitude and direction of the insulator image, and performing non-maximum suppression on the gradient amplitude;
and 5: setting a high threshold and a low threshold for the insulator image, taking the maximum entropy of the gray value of the insulator image as the high threshold, and extracting the insulator edge image by adopting a Canny operator;
step 6: and carrying out crack detection on the insulator edge image possibly containing cracks.
2. The Canny operator-based insulator crack detection method based on maximum entropy threshold optimization according to claim 1, wherein in the step 1, the insulator image is preprocessed, insulator images are subjected to rotation transformation, the center line of the insulator in the images is in the vertical direction, and the insulator is subjected to image graying, contrast enhancement and denoising in sequence, and the method comprises the following sub-steps of,
step 1.1: graying the insulator image;
step 1.2: enhancing the contrast of the insulator image;
step 1.3: and denoising the insulator image.
3. The Canny operator-based insulator crack detection method based on maximum entropy threshold optimization according to claim 2, wherein in step 1.2, the contrast of the insulator image is enhanced, the gray scale distribution function of the image before enhancement is f (x, y), the gray scale distribution range of image pixels is [ a, b ], after the contrast of the insulator image is enhanced, the gray scale distribution range of the image pixels is [0,255], and the expression of the gray scale distribution function g (x, y) is as follows
Figure FDA0002365238270000011
4. The Canny operator-based insulator crack detection method based on the maximum entropy threshold optimization is characterized in that in the step 6, the crack detection is carried out on the insulator edge image possibly containing cracks, and the method comprises the following steps,
step 6.1: judging the insulator contour line which accords with the shape characteristic of the slope function in the edge curve of the edge image in the step 5, and determining an insulator region in the image;
step 6.2: and judging whether a curve spanning the adjacent umbrella skirt exists in the insulation sub-region, and if so, judging that the umbrella skirt is cracked.
5. The Canny operator based maximum entropy threshold optimized insulator crack detection method according to any one of claims 1-4, wherein the insulator image is denoised by a wiener filter.
CN202010033618.3A 2020-01-13 2020-01-13 Canny operator-based insulator crack detection method based on maximum entropy threshold optimization Pending CN111242923A (en)

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Application publication date: 20200605